Name
Abstract | ||
|---|---|---|
A Crank–Nicolson type scheme, which is of order two with respect to all independent variables, is used in the numerical solution of multi-dimensional advection equations. Normally, the order of accuracy of any numerical scheme can be increased by one when the well-known Richardson Extrapolation is used. It is proved that in this particular case the order of accuracy of the combined numerical method, the method consisting of the Crank–Nicolson scheme and the Richardson Extrapolation, is not three but four. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.camwa.2014.02.028 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Multi-dimensional advection,Crank–Nicolson numerical scheme,Richardson extrapolation,Order of accuracy | Order of accuracy,Multi dimensional,Richardson extrapolation,Modified Richardson iteration,Bulirsch–Stoer algorithm,Mathematical analysis,Advection,Variables,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
67 | 12 | 0898-1221 |
Citations | PageRank | References |
1 | 0.38 | 4 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zahari Zlatev | 1 | 205 | 65.20 |
| Ivan Dimov | 2 | 292 | 76.02 |
| István Faragó | 3 | 62 | 21.50 |
| Krassimir Georgiev | 4 | 113 | 34.34 |
| Ágnes Havasi | 5 | 39 | 9.98 |
| Tzvetan Ostromsky | 6 | 54 | 15.08 |